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On non-uniqueness in some homogeneous networks

Part I

Part of the Lecture Notes in Mathematics book series (LNM,volume 653)

Keywords

  • Local Interaction
  • Great Probability
  • Limit Behaviour
  • Markov Operator
  • Homogeneous Network

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References

  1. Stavskaya N.N., Pyatetsky-Shapiro I.I. (1968). On some properties of homogeneous networks of spontaneously active elements. Problemy Kibernet., 20, 91–106.

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  2. Vasilyev N.V., Mityushin L.G., Pyatetsky-Shapiro I.I., Toom A.L. (1973). Operators of Stavskaya. Inst.Appl.Math., Acad.Sci.USSR, Preprint no 12.

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  3. Shnirman M.G. (1968). On the ergodicity of a certain Markov chain. Problemy Kibernet., 20, 115–124.

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  4. Toom A.L. (1968). On a certain family of networks of formal neurons. Dokl.Acad.Nauk SSSR, 183, no I, 49–52.

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  5. Vasilyev N.B. (1970). Correlation equations for the stationary measure of a Markov chain. Theor. Veroyatnostli Primenen., 15, no 4, 536–541.

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  6. Vasershtein L.N. (1970). Leontovitch A.M. On the stationary measures of certain Markov operators describing a homogeneous random network. Problemy Peredači Informacii, 6, no L, 71–80.

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© 1978 Springer-Verlag

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Shnirman, M.G. (1978). On non-uniqueness in some homogeneous networks. In: Dobrushin, R.L., Kryukov, V.I., Toom, A.L. (eds) Locally Interacting Systems and Their Application in Biology. Lecture Notes in Mathematics, vol 653. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070082

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  • DOI: https://doi.org/10.1007/BFb0070082

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08450-1

  • Online ISBN: 978-3-540-37044-4

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